/netlib/textbook/mathews

• file: chap2.f
  for: Chapter 2. The Solution of Nonlinear Equations f(x) = 0 Algorithm 2.1 Fixed point iteration Algorithm 2.2 Bisection method Algorithm 2.3 False position or Regula Falsi method Algorithm 2.4 Approximate location of roots Algorithm 2.5 Newton-Raphson iteration Algorithm 2.6 Secant method Algorithm 2.7 Steffensen's acceleration Algorithm 2.8 Muller's method Algorithm 2.9 Nonlinear Seidel iteration Algorithm 2.10 Newton-Raphson method in 2-dimensions
• file: chap3.f
  for: Chapter 3. The Solution of Linear Systems AX = B Algorithm 3.1 Back substitution Algorithm 3.2 Upper-triangularization followed by back substitution Algorithm 3.3 PA = LU factorization with pivoting Algorithm 3.4 Jacobi iteration Algorithm 3.5 Gauss-Seidel iteration
• file: chap4.f
  for: Chapter 4. Interpolation and Polynomial Approximation Algorithm 4.1 Evaluation of a Taylor series Algorithm 4.2 Polynomial calculus Algorithm 4.3 Lagrange approximation Algorithm 4.4 Nested multiplication with multiple centers Algorithm 4.5 Newton interpolation polynomial Algorithm 4.6 Chebyshev approximation
• file: chap5.f
  for: Chapter 5. Curve Fitting Algorithm 5.1 Least squares line Algorithm 5.2 Least squares polynomial Algorithm 5.3 Non-linear curve fitting Algorithm 5.4 Cubic splines Algorithm 5.5 Trigonometric polynomials
• file: chap6.f
  for: Chapter 6. Numerical Differentiation Algorithm 6.1 Differentiation using limits Algorithm 6.2 Differentiation using extrapolation Algorithm 6.3 Differentiation based on N+1 nodes
• file: chap7.f
  for: Chapter 7. Numerical Integration Algorithm 7.1 Composite trapezoidal rule Algorithm 7.2 Composite Simpson's rule Algorithm 7.3 Recursive trapezoidal rule Algorithm 7.4 Romberg integration Algorithm 7.5 Adaptule Algorithm 7.6 Gauss-Legendre quadrature
• file: chap8.f
  for: Chapter 8. Numerical Optimization Algorithm 8.1 Golden search for a minimum Algorithm 8.2 Nelder-Mead's minimization method Algorithm 8.3 Local minimum search using quadratic interpolation Algorithm 8.4 Steepest descent or gradient method
• file: chap9.f
  for: Chapter 9. Solution of Differential Equations Algorithm 9.1 Euler's method Algorithm 9.2 Heun's method Algorithm 9.3 Taylor's method of order four Algorithm 9.4 Runge-Kutta method of order four Algorithm 9.5 Runge-Kutta-Fehlberg method RKF45 Algorithm 9.6 Adams-Bashforth-Moulton method Algorithm 9.7 Milne-Simpson method Algorithm 9.8 Hamming's method Algorithm 9.9 Linear shooting method Algorithm 9.10 Finite difference method
• file: chap10.f
  for: Chapter 10. Solution of Partial Differential Equations Algorithm 10.1 Finite difference solution for the wave equation Algorithm 10.2 Forward difference method for the heat equation Algorithm 10.3 Crank-Nicholson method for the heat equation Algorithm 10.4 Dirichlet method for Laplace's equation
• file: chap11.f
  for: Chapter 11. Eigenvalues and Eigenvectors Algorithm 11.1 Power method Algorithm 11.2 Shifted inverse power method Algorithm 11.3 Jacobi iteration for eigenvalues and eigenvectors Algorithm 11.4 Reduction to tridiagonal form Algorithm 11.5 The QL method with shifts
• file: readme

• index help

Eric and Jack

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